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Finding the Fourth Proportional to 19,478, 26,879.64 and 11,094.68

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Solution

The fourth proportional to 19,478, 26,879.64 and 11,094.68 is: 15,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478 : 26,879.64 = 11,094.68 : x
  2. Step 2: Convert to fraction form
    19,478/26,879.64 = 11,094.68/x
  3. Step 3: Cross multiply
    19,478x = 26,879.64 × 11,094.68
  4. Step 4: Simplify right side
    19,478x = 298,221,004.32
  5. Step 5: Solve for x
    x = 298,221,004.32/19,478
  6. Step 6: Final answer
    x = 15,310.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.